Investigating some concepts related with Z – essential submodules | Synapse
September 16, 2025Open Access
Investigating some concepts related with Z – essential submodules
Key Points
Three new concepts have been introduced in module theory, contributing to the understanding of module structures.
The concepts discussed include z - essential small submodules and ze - radical of a module, enhancing theoretical frameworks.
The paper explores properties related to ze - socle of a module, providing new insights into module analysis.
Implications of these concepts may influence future research directions in abstract algebra.
Abstract
In this paper, three new concepts are introduced namely Z – essential small submodules, Ze – Radical of a module and Ze – Socle of a module. Many propertied related with these concepts are discussed.